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Definite Integration question

2023 · 13 Apr · Shift 1 · Q30

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JEE Main
Mathematics
Definite Integration
2023 · 13 Apr · Shift 1 · Q30

Definite Integration question

2023 · 13 Apr · Shift 1 · Q30

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

\int_{0}^{\infty} \frac{6}{e^{3 x}+6 e^{2 x}+11 e^{x}+6} d x=

A
$\log _{e}\left(\frac{256}{81}\right)$
B
$\log _{e}\left(\frac{64}{27}\right)$
C
$\log _{e}\left(\frac{32}{27}\right)$
D
$\log _{e}\left(\frac{512}{81}\right)$

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